Highest Common Factor of 261, 967 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 261, 967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 261, 967 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 261, 967 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 261, 967 is 1.
HCF(261, 967) = 1
HCF of 261, 967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 261, 967 is 1.
Highest Common Factor of 261,967 is 1
Step 1: Since 967 > 261, we apply the division lemma to 967 and 261, to get
967 = 261 x 3 + 184
Step 2: Since the reminder 261 ≠ 0, we apply division lemma to 184 and 261, to get
261 = 184 x 1 + 77
Step 3: We consider the new divisor 184 and the new remainder 77, and apply the division lemma to get
184 = 77 x 2 + 30
We consider the new divisor 77 and the new remainder 30,and apply the division lemma to get
77 = 30 x 2 + 17
We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get
30 = 17 x 1 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 261 and 967 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(77,30) = HCF(184,77) = HCF(261,184) = HCF(967,261) .
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Frequently Asked Questions on HCF of 261, 967 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 261, 967?
Answer: HCF of 261, 967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 261, 967 using Euclid's Algorithm?
Answer: For arbitrary numbers 261, 967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.